Dimension
Identifieur interne : 001C76 ( Main/Merge ); précédent : 001C75; suivant : 001C77Dimension
Auteurs : Saunders Mac Lane [États-Unis]Source :
- Classics in Mathematics [ 0072-7830 ] ; 1995.
Abstract
Abstract: This chapter is a brief introduction to the extensive applications of homological algebra to ring theory and algebraic geometry. We define various dimensions, use them in polynomial rings and separable algebras, and in the Hilbert theorem on syzygies. Subsequent chapters are independent of this material, except for the description (§ 3) of Ext and Tor for algebras and the direct product and ground ring extensions for algebras.
Url:
DOI: 10.1007/978-3-642-62029-4_8
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<front><div type="abstract" xml:lang="en">Abstract: This chapter is a brief introduction to the extensive applications of homological algebra to ring theory and algebraic geometry. We define various dimensions, use them in polynomial rings and separable algebras, and in the Hilbert theorem on syzygies. Subsequent chapters are independent of this material, except for the description (§ 3) of Ext and Tor for algebras and the direct product and ground ring extensions for algebras.</div>
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